GLOBAL ANALYSIS IN DELAYED RATIO-DEPENDENT GAUSE-TYPE PREDATOR-PREY MODELS | Zendy

Shuang Guo | Zendy; Weihua Jiang | Zendy; Hongbin Wang | Zendy

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GLOBAL ANALYSIS IN DELAYED RATIO-DEPENDENT GAUSE-TYPE PREDATOR-PREY MODELS

Author(s) -

Shuang Guo,

Weihua Jiang,

Hongbin Wang

Publication year - 2017

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2017068

Subject(s) - mathematics , lyapunov function , predation , functional response , control theory (sociology) , type (biology) , predator , range (aeronautics) , ecology , nonlinear system , computer science , biology , physics , control (management) , materials science , composite material , quantum mechanics , artificial intelligence

A class of three-dimensional delayed Gause-type predator-prey model with ratio-dependent is considered. Firstly, we present some results, including the boundedness of solutions and the permanence of system. Secondly, we construct a Lyapunov function to give the global asymptotically stable of the positive equilibrium under some parameter conditions. Finally, we analyed the influence of the time delay on the system and showed that the occurrence of small range of periodic motion.

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